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Central series in wreath products
Mathematical Proceedings of the Cambridge Philosophical Society, 1967In this paper we study the structure of the α-central series of the nilpotent wreath product of two Abelian groups, the α-central series being the intersection of the upper central series with the base group. Let C = A wr B, the standard restricted wreath product of A and B.
J. Meldrum
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When the Lower Central Series Stops: A Comprehensive Study for Braid Groups and Their Relatives
Memoirs of the American Mathematical Society, 2022Understanding the lower central series of a group is, in general, a difficult task. It is, however, a rewarding one: computing the lower central series and the associated Lie algebras of a group or of some of its subgroups can lead to a deep ...
Jacques Darn'e +2 more
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The Upper And Lower Central Series In Linear Groups
Quarterly Journal of Mathematics, 2021A classical theorem of Reinhold Baer shows that any group which is finite over its k-th centre has a finite (k + 1)-th term of its lower central series.
F. Giovanni, M. Trombetti, B. Wehrfritz
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Central toxic keratopathy: a clinical case series
British Journal of Ophthalmology, 2013To describe clinically, a case series of central toxic keratopathy (CTK), and contribute with one possible aetiology of this entity.A retrospective observational case series, which included 12 eyes diagnosed with CTK after undergoing laser refractive surgery in situ keratomileusis (LASIK).From a total of 28 eyes that underwent LASIK in the same week ...
José Francisco, Marí Cotino +3 more
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Central neurocytoma: 9 case series and review
Surgical Neurology, 2008Reviewing the literature on central neurocytoma revealed that functional outcomes traditionally have been assessed by KPS. However, KPS is not sufficiently sensitive to assess functional outcomes compared with the Barthel Index and the Functional Independence Measure (the FIM instrument).
Chien-Min, Chen +4 more
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Ileocecal Ulcer in Central China: Case Series
Digestive Diseases and Sciences, 2007Diseases of the ileocecal junction are mostly ulcerative. The aim of this study was to investigate the value of colonoscopy on the diagnosis of the causes of ileocecal ulcer. Clinical manifestations, diagnosis, and endoscopic and histopathologic features of 52 hospitalized cases of ileocecal ulcer were retrospectively analyzed.
Jia, Cai +3 more
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Growth series of central amalgamations
Communications in Algebra, 1993Evaluation at 1 of the growth series of a finitely generated group G of rational growth often yields the reciprocal of the ordinary Euler characteristic of G. This leads one to suspect that the power series reciprocal of the growth series might behave like a series-valued Euler characteristic: this is indeed the case and the easiest way to see it is to
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